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Finding the Fourth Proportional to 105,410.89, 145,466.57 and 57,012.88

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Solution

The fourth proportional to 105,410.89, 145,466.57 and 57,012.88 is: 78,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.89 : 145,466.57 = 57,012.88 : x
  2. Step 2: Convert to fraction form
    105,410.89/145,466.57 = 57,012.88/x
  3. Step 3: Cross multiply
    105,410.89x = 145,466.57 × 57,012.88
  4. Step 4: Simplify right side
    105,410.89x = 8,293,467,457.18
  5. Step 5: Solve for x
    x = 8,293,467,457.18/105,410.89
  6. Step 6: Final answer
    x = 78,677.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.